GCF and LCM Calculator Logo

What is the Least Common Multiple of 6379 and 6394?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 6379 and 6394 is 40787326.

LCM(6379,6394) = 40787326

LCM Calculator and
and

Least Common Multiple of 6379 and 6394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6379 and 6394, than apply into the LCM equation.

GCF(6379,6394) = 1
LCM(6379,6394) = ( 6379 × 6394) / 1
LCM(6379,6394) = 40787326 / 1
LCM(6379,6394) = 40787326

Least Common Multiple (LCM) of 6379 and 6394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6379 and 6394. First we will calculate the prime factors of 6379 and 6394.

Prime Factorization of 6379

Prime factors of 6379 are 6379. Prime factorization of 6379 in exponential form is:

6379 = 63791

Prime Factorization of 6394

Prime factors of 6394 are 2, 23, 139. Prime factorization of 6394 in exponential form is:

6394 = 21 × 231 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 6379 and 6394.

LCM(6379,6394) = 63791 × 21 × 231 × 1391
LCM(6379,6394) = 40787326